时间：2023年9月6日（周三）14:00-15:00
地点：E4-233 & ZOOM
ZOOM ID：921 6725 8223
PASSCODE:064984
主讲人:清华大学丘成桐数学科学中心, Emmanuel Lecouturier
主讲人介绍:Emmanuel Lecouturier joined Tsinghua University in 2018, he is an associate Professor at Yau Mathematical Science Center (YMSC). He is working on number theory (modular forms, elliptic curves, L-functions).
讲座主题：On the Harris--Venkatesh conjecture for weight one modular forms
讲座摘要:
In the spirit of general conjectures of Venkatesh on the action of derived Hecke operators on the cohomology of arithmetic groups, Harris and Venkatesh formulated a conjecture relating the action of certain derived Hecke operators on weight one eigenforms to a certain group of units in a number field. Much work has been done, by several authors, in the case of a dihedral weight one form. We will survey these results. Following the recent ideas of Robin Zhang, we will also motivate the conjecture from the perspective of special values of L-functions. This is based on the work of the author [IMRN 2023, DOI 10.1093/imrn/rnad119] and work in progress with Loïc Merel.
